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February 1, 2026Indagationes Mathematicae

Purely exponential Diophantine equations with four terms of consecutive bases: Contribution to Skolem’s conjecture

Maohua Le Takafumi Miyazaki

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Key Points

The findings illustrate key solutions to purely exponential diophantine equations with four terms, enhancing understanding of such equations.
Insights into these equations support aspects of Skolem's conjecture, especially relating to number-theoretic properties.
Investigation involved theoretical analysis of equations and their link to conjectured frameworks in number theory.
These insights underline the complexity of diophantine equations, suggesting further exploration and validation are essential.

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Implication

Analysis reveals insights on solutions to Diophantine equations with four consecutive bases, highlighting implications for number theory.

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Cite This Study

Le et al. (2026) studied this question.

synapsesocial.com/papers/69a76815badf0bb9e87e387a https://doi.org/10.1016/j.indag.2026.02.003

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